Thank you for visiting Ahmed buys 4 cups of Karak Chai and 3 scones for 12 AED Yusuf buys 2 cups of Karak Chai and 5 scones for 13. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
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this is so confusing
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Rewritten by : Jeany
The price of a cup of Karak Chai is 1.5 AED and the price of a scone is 2 AED.
Let's define two variables: t for the price of a cup of Karak Chai and s for the price of a scone.
We are given the following information:
- Ahmed buys 4 cups of Karak Chai and 3 scones for 12 AED.
- Yusuf buys 2 cups of Karak Chai and 5 scones for 13 AED.
This gives us two simultaneous equations:
1. 4t + 3s = 12
2. 2t + 5s = 13
First, we will multiply the second equation by 2 to make the coefficients of t the same:
2(2t + 5s = 13)
4t + 10s = 26
Next, we will subtract the first equation from the modified second equation:
(4t + 10s) - (4t + 3s) = 26 - 12
7s = 14
s = 2
4t + 3(2) = 12
4t + 6 = 12
4t = 6
t = 1.5
Therefore, the price of a cup of Karak Chai is 1.5 AED and the price of a scone is 2 AED.
